On the property of the closedness of the set of almost periodic functions
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2013), pp. 13-19
Cet article a éte moissonné depuis la source Math-Net.Ru
We study the property of the closedness of the set of uniformly almost periodic functions with respect to the operation of addition. It is shown that the proof of this property found in the monograph by B. P. Demidovich “Lectures on the mathematical theory of stability” is not quite correct. A valid proof is given.
Keywords:
almost periodic functions, closedness.
@article{VUU_2013_4_a1,
author = {I. N. Banshchikova and S. N. Popova},
title = {On the property of the closedness of the set of almost periodic functions},
journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
pages = {13--19},
year = {2013},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VUU_2013_4_a1/}
}
TY - JOUR AU - I. N. Banshchikova AU - S. N. Popova TI - On the property of the closedness of the set of almost periodic functions JO - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki PY - 2013 SP - 13 EP - 19 IS - 4 UR - http://geodesic.mathdoc.fr/item/VUU_2013_4_a1/ LA - ru ID - VUU_2013_4_a1 ER -
%0 Journal Article %A I. N. Banshchikova %A S. N. Popova %T On the property of the closedness of the set of almost periodic functions %J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki %D 2013 %P 13-19 %N 4 %U http://geodesic.mathdoc.fr/item/VUU_2013_4_a1/ %G ru %F VUU_2013_4_a1
I. N. Banshchikova; S. N. Popova. On the property of the closedness of the set of almost periodic functions. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2013), pp. 13-19. http://geodesic.mathdoc.fr/item/VUU_2013_4_a1/